Implicit function theorem - Revision history

AddisonDM at 17:43, January 3, 2009

2009-01-03T17:43:58Z

AddisonDM at 17:43, January 3, 2009

2009-01-03T17:43:50Z

AddisonDM: Implicit Function Theorem moved to Implicit function theorem

2009-01-03T17:43:38Z

Implicit Function Theorem moved to Implicit function theorem

WilliamBeason: naming convention for articles, move requested

2009-01-01T14:06:26Z

naming convention for articles, move requested

Foxtrot: The Implicit Function Theorem is a theorem of calculus

2008-02-29T05:59:14Z

The Implicit Function Theorem is a theorem of calculus

New page

The '''Implicit Function Theorem''' is a [[theorem]] of [[calculus]]. It states that a (multiple-[[variable]]) function has many [[inverse]]s hidden in different [[neighborhood]]s of the [[image]]. That is to say, the [[graph]] of the function can be finitely [[partition]]ed so that each piece has an inverse function. It is used by [[mathematics|mathematicians]] for local analysis of functions which cannot be globally inverted. It is considered one of the fundaments of the Calculus and does not require [[complex analysis]] for proof.

[[Category:Calculus]]

← Older revision		Revision as of 17:43, January 3, 2009
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	The '''Implicit function theorem''' is a [[theorem]] of [[calculus]]. It states that a (multiple-[[variable]]) function has many [[inverse]]s hidden in different [[neighborhood]]s of the [[image]]. That is to say, the [[graph]] of the function can be finitely [[partition]]ed so that each piece has an inverse function. It is used by [[mathematics\|mathematicians]] for local analysis of functions which cannot be globally inverted. It is considered one of the fundaments of the Calculus and does not require [[complex analysis]] for proof.		The '''Implicit function theorem''' is a [[theorem]] of [[calculus]]. It states that a (multiple-[[variable]]) function has many [[inverse]]s hidden in different [[neighborhood]]s of the [[image]]. That is to say, the [[graph]] of the function can be finitely [[partition]]ed so that each piece has an inverse function. It is used by [[mathematics\|mathematicians]] for local analysis of functions which cannot be globally inverted. It is considered one of the fundaments of the Calculus and does not require [[complex analysis]] for proof.

	[[Category:Calculus]]		[[Category:Calculus]]

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 {{move|Implicit function theorem}}
-The '''Implicit Function Theorem''' is a [[theorem]] of [[calculus]]. It states that a (multiple-[[variable]]) function has many [[inverse]]s hidden in different [[neighborhood]]s of the [[image]]. That is to say, the [[graph]] of the function can be finitely [[partition]]ed so that each piece has an inverse function. It is used by [[mathematics|mathematicians]] for local analysis of functions which cannot be globally inverted. It is considered one of the fundaments of the Calculus and does not require [[complex analysis]] for proof.
+The '''Implicit function theorem''' is a [[theorem]] of [[calculus]]. It states that a (multiple-[[variable]]) function has many [[inverse]]s hidden in different [[neighborhood]]s of the [[image]]. That is to say, the [[graph]] of the function can be finitely [[partition]]ed so that each piece has an inverse function. It is used by [[mathematics|mathematicians]] for local analysis of functions which cannot be globally inverted. It is considered one of the fundaments of the Calculus and does not require [[complex analysis]] for proof.
 [[Category:Calculus]]

← Older revision		Revision as of 14:06, January 1, 2009
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		+	{{move\|Implicit function theorem}}
		+
	The '''Implicit Function Theorem''' is a [[theorem]] of [[calculus]]. It states that a (multiple-[[variable]]) function has many [[inverse]]s hidden in different [[neighborhood]]s of the [[image]]. That is to say, the [[graph]] of the function can be finitely [[partition]]ed so that each piece has an inverse function. It is used by [[mathematics\|mathematicians]] for local analysis of functions which cannot be globally inverted. It is considered one of the fundaments of the Calculus and does not require [[complex analysis]] for proof.		The '''Implicit Function Theorem''' is a [[theorem]] of [[calculus]]. It states that a (multiple-[[variable]]) function has many [[inverse]]s hidden in different [[neighborhood]]s of the [[image]]. That is to say, the [[graph]] of the function can be finitely [[partition]]ed so that each piece has an inverse function. It is used by [[mathematics\|mathematicians]] for local analysis of functions which cannot be globally inverted. It is considered one of the fundaments of the Calculus and does not require [[complex analysis]] for proof.

	[[Category:Calculus]]		[[Category:Calculus]]

← Older revision	Revision as of 17:43, January 3, 2009
(No difference)